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Finding the Fourth Proportional to 10,188.40, 15,282.96 and 3,262

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Solution

The fourth proportional to 10,188.40, 15,282.96 and 3,262 is: 4,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.40 : 15,282.96 = 3,262 : x
  2. Step 2: Convert to fraction form
    10,188.40/15,282.96 = 3,262/x
  3. Step 3: Cross multiply
    10,188.40x = 15,282.96 × 3,262
  4. Step 4: Simplify right side
    10,188.40x = 49,853,015.52
  5. Step 5: Solve for x
    x = 49,853,015.52/10,188.40
  6. Step 6: Final answer
    x = 4,893.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.